72418801 has 16 divisors (see below), whose sum is σ = 89356288. Its totient is φ = 57153600.

The previous prime is 72418799. The next prime is 72418807. The reversal of 72418801 is 10881427.

It is not a de Polignac number, because 72418801 - 2¹ = 72418799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72418807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48496 + ... + 49966.

It is an arithmetic number, because the mean of its divisors is an integer number (5584768).

Almost surely, 2^72418801 is an apocalyptic number.

It is an amenable number.

72418801 is a deficient number, since it is larger than the sum of its proper divisors (16937487).

72418801 is a wasteful number, since it uses less digits than its factorization.

72418801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 72418801 is about 8509.9236776836. The cubic root of 72418801 is about 416.8218179180.

The spelling of 72418801 in words is "seventy-two million, four hundred eighteen thousand, eight hundred one".